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Mishaka
Questions and answers by visitors named
Mishaka
Questions (63)
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger
6 answers
6,520 views
Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1
(Hint: You'll definitely have to sketch this one on
6 answers
2,372 views
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2)
4 answers
2,536 views
If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?
I. g(x) = 1 at
4 answers
3,157 views
Let f be defined as follows, where a does not = 0,
f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the
6 answers
4,122 views
The slope of the line normal to the graph of 4 sin x + 9 cos y = 9 at the point (pi, 0) is:
Derivative: 4cosx - 9siny(dy/dx) = 0
15 answers
3,841 views
A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate
5 answers
7,251 views
A piece of elastic is attached to two nails on a flat board, with a button attached to the midpoint of the elastic. The nails
7 answers
4,892 views
Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its
5 answers
2,301 views
A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil
6 answers
5,202 views
What is the limit of this function as x approaches infinity?
2^x + x^3 / x^2 + 3^x
1 answer
453 views
What is the limit of this function as x approaches 0?
cos(x) - 1 / x From what I gather, the limit is equal to 0, since on the
2 answers
642 views
What is the limit of the function as x approaches infinity?
4x^4 - 4^x Would the limit be positive infinity or negative infinity?
1 answer
490 views
What is the limit of the function as x approaches infinity?
(x^4 - 7x + 9) / (4 + 5x + x^3) From what I know, the limit should be
2 answers
526 views
How many roots does the graph of this function have?
4x^4 - 4^x I believe that it either has two or three roots.
10 answers
940 views
Cheryl runs a race on a 400.0 m circular track. She starts running east of the starting line and then circles the track and
2 answers
940 views
Suppose
g(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
2 answers
589 views
Suppose
g(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The best description concerning the continuity of g(x) is that the
4 answers
1,705 views
Suppose
g(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
4 answers
1,377 views
Given
f(x) = (x^4 + 17) / (6x^2 + x - 1) Identify any points of discontinuity, and determine (giving reasons) if they are
3 answers
2,508 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
4 answers
992 views
Suppose,
f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^2 - 2x - 8)/(x - 4) if 2 </= x < 4 (1 / (x - 3)) + 5) if 4 </= x Identify any
2 answers
703 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
4 answers
2,617 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
1 answer
776 views
Let f be defined as follows, where a does not = 0,
f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the
1 answer
371 views
If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?
I. g(x) = 1 at
2 answers
659 views
If the following function is continuous, what is the value of a + b?
f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0 </= x </=
2 answers
637 views
If the following function is continuous, what is the value of a + b?
f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0 </= x </=
5 answers
3,929 views
What is the error in this sentence?
"Dr. Smith had argued that the cure for insomnia could be found in the seeds of apples, and
10 answers
952 views
A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The
5 answers
asked by
Mishaka
5,092 views
Two particles are moving in straight lines. The displacement (in meters) of particle 1 is given by the function e^(4cos(t)) ,
5 answers
3,942 views
What is the derivative of the this functon?
g(x) = -500/x, x cannot equal 0. I know that in order to fnd the derivative I need to
4 answers
949 views
Using the product rule, find the derivative of the following function:
(x^1/2 cscx sinx).
2 answers
544 views
Okay, I know that the derivative functon of the function -500/x is 500/x^2, but I am having a hard time getting to this result
1 answer
493 views
Show the steps to get the derivative function of -500/x by evaluating the limit. By limit, they are referring to the equation,
2 answers
609 views
Find the three zeros for the following function on the interval -5 </= x </= 5
(1 + 50sin(x)) / (x^2 + 3)
5 answers
759 views
Find the three zeros for the following function on the interval -5 </= x </= 5
(1 + 50sin(x)) / (x^2 + 3)
4 answers
512 views
Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not
10 answers
2,710 views
I would just like to know if these sentences are grammatically sound.
Esta es la receta para empanadas de pera de Chile. Estos
2 answers
529 views
Suppose you know that f(x) is an odd functon on the domain of all real numbers and that the function is concave up on the
4 answers
2,731 views
True or False: Consider the following statement:
A differentiable function must have a relative minimum between any two relative
4 answers
2,716 views
An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion.
a
3 answers
1,145 views
An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion.
a
2 answers
1,129 views
The U.S. Post Office will accept a box for shipment only if the sum of the length and girth (distance around) is at most 108
7 answers
asked by
Mishaka
6,689 views
A rectangular piece of cardboard, 8 inches by 14 inches, is used to make an open top box by cutting out a small square from each
13 answers
4,054 views
Find the point on the graph of y = x^2 + 1 that’s closest to the point 8, 1.5. Hint: Remember the distance formula.
5 answers
6,212 views
Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.
5 answers
2,594 views
The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second.
A. At the time when the radius of the
7 answers
4,174 views
A man carries a 10 kg sack of groceries in his arms with a force of 50 N as he walks forward a distance of 10 m. How much work
4 answers
1,269 views
What is the antiderivative of?
(x^2 - 4) / (x - 2)
3 answers
648 views
What is the antiderivative of the following expression?
3x(x^2 + 7)^3
2 answers
488 views
What is the antiderivative of the followring expression?
x^(-1/2) sin(2x^(-3/2)) After trying to figure out this problem, I have
6 answers
780 views
Evaluate the following expression:
d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
2 answers
566 views
Evaluate the following expression:
d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
2 answers
531 views
Evaluate the following expression:
d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
4 answers
435 views
Suppose f(x) is a continuous function. Then a function F(x) such that F'(x) = f(x) is called:
A.) the indefinite integral of f
2 answers
753 views
Find the area of the region bounded by the curves y=x^(-1/2), y=x^(-2), y=1 and y=3.
You get: a.) 1/2(sqrt(3)) + 4/3 b.)
3 answers
609 views
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2)
4 answers
1,893 views
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x))
5 answers
2,343 views
In Seattle on September 30, the temperature hours after midnight was given by the function y=60 + 12sin((pi/x)(x-11))
What was
4 answers
1,353 views
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you
4 answers
2,010 views
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you
3 answers
868 views
A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil
2 answers
1,070 views